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math.AP2008
Initial-boundary value problems for conservation laws with source terms and the Degasperis-Procesi equation
G. C. Coclite, K. H. Karlsen, Y. -S. Kwon
We consider conservation laws with source terms in a bounded domain with Dirichlet boundary conditions. We first prove the existence of a strong trace at the boundary in order to p…
math.AP2003
An error estimate for viscous approximate solutions of degenerate parabolic equations
Steinar Evje, Kenneth H. Karlsen
Relying on recent advances in the theory of entropy solutions for nonlinear (strongly) degenerate parabolic equations, we present a direct proof of an L^1 error estimate for viscou…